Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel and dice the sweet potato and carrots into uniform 1-inch cubes to ensure even cooking.
Mince the garlic clove finely.
Cut the chicken breast into bite-sized pieces or leave whole depending on preference, though pieces roast faster with the vegetables.
In a large mixing bowl, combine the chicken, sweet potatoes, carrots, olive oil, rosemary, thyme, garlic, salt, and pepper.
Toss everything thoroughly until the chicken and vegetables are well-coated in the oil and herbs.
Spread the mixture in a single layer on the prepared baking sheet, ensuring nothing is overcrowded.
Roast for 25 to 30 minutes, tossing halfway through, until the chicken reaches an internal temperature of 165°F and the vegetables are fork-tender and browned.